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Finding the Fourth Proportional to 97,402.64, 146,109.51 and 27,287.42

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Solution

The fourth proportional to 97,402.64, 146,109.51 and 27,287.42 is: 40,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,402.64 : 146,109.51 = 27,287.42 : x
  2. Step 2: Convert to fraction form
    97,402.64/146,109.51 = 27,287.42/x
  3. Step 3: Cross multiply
    97,402.64x = 146,109.51 × 27,287.42
  4. Step 4: Simplify right side
    97,402.64x = 3,986,950,834.82
  5. Step 5: Solve for x
    x = 3,986,950,834.82/97,402.64
  6. Step 6: Final answer
    x = 40,932.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.